Legend says that Archimedes, in determining whether or not the king's crown was made of pure gold, measured its volume by the water displacement method. If the density of gold is 19.3 g/cm3, and the crown's mass is 440 g, what volume would be necessary to prove that it is pure gold?
a. 31.1 cm3
c. 22.8 cm3
b. 114 × 10^3 cm3
d. 1.81 × 10^-2 cm3
C
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A mass is attached to a vertical spring and bobs up and down between points A and B. Where is the mass located when its kinetic energy is a minimum?
A) at either A or B B) midway between A and B C) one-third of the way between A and B D) one-fourth of the way between A and B E) none of the above
Suppose that a pipe carrying a hot fluid with an external temperature of Ti and outer radius ri is to be insulated with an insulation material of thermal conductivity k and outer radius ro. Show that if the convective heat transfer coefficient on the outside of the insulation is h and the environmental temperature is T?, the addition of insulation can actually increases the rate of heat loss if ro < k /h and that maximum heat loss occurs when ro = k/h . This radius, rc, is often called the critical radius.
GIVEN
An insulated pipe External temperature of the pipe = Ti Outer radius of the pipe = ri Outer radius of insulation = ro Thermal conductivity = k Ambient temperature = T? Convective heat transfer coefficient = h
FIND
Show that (a) The insulation can increase the heat loss if ro < k/h (b) Maximum heat loss occurs when ro = k/h
ASSUMPTIONS
The system has reached steady state The thermal conductivity does not vary appreciably with temperature Conduction occurs in the radial direction only
SKETCH
What value of B should be used in a velocity selector to separate out 2.0-keV protons if E is fixed at 80 kV/m?
a. 0.18 T b. 0.11 T c. 0.15 T d. 0.13 T e. 0.23 T
When 1H and 2H fuse, the result is
A) a particle with a mass greater than the sum of the mass of 1H plus the mass of 2H. B) crabgrass. C) a particle with a mass less than the sum of the mass of 1H plus the mass of 2H. D) the annihilation of both nuclei and the production of energy in the form of radiation. E) a particle with a mass equal to the sum of the mass of 1H plus the mass of 2H.